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Longitudinal and transverse disturbances in unbounded, gas-fluidized beds
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10.1063/1.4789498
/content/aip/journal/pof2/25/2/10.1063/1.4789498
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4789498
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) Growth constant traces corresponding to the longitudinal mode (solid lines; function of ) and transverse mode (dashed lines; function of ) for varying values of , as marked. (b) Growth constant traces for each mode with = 0.780 calculated by including and ignoring the fluid-phase convective and viscous terms, as marked. The inset shows the point at which the leading longitudinal mode crosses the point of marginal stability. = 2000 = 0.52, = 0.90.

Image of FIG. 2.
FIG. 2.

Growth constants corresponding to the leading mode in the wavenumber plane for (a) = 0.715, (b) = 0.850. = 2000, = 0.52, = 0.90.

Image of FIG. 3.
FIG. 3.

Growth constants of the dominant mode as a function of the Reynolds number and solid-phase volume concentration. Dark-shaded regions correspond to a dominant transverse wave, while non-shaded regions denote longitudinal dominance. = 3000, = 0.90.

Image of FIG. 4.
FIG. 4.

Growth constants of the dominant mode as a function of the phase density ratio and solid-phase volume concentration. Dark-shaded regions correspond to a dominant transverse wave, while non-shaded regions denote longitudinal dominance. = 0.90.

Image of FIG. 5.
FIG. 5.

Growth constants of the dominant (a) transverse and (b) longitudinal modes as a function of the solid-phase volume concentration for various values of the restitution coefficient, as marked.

Image of FIG. 6.
FIG. 6.

Traces corresponding to dimensionless values of the individual and summed terms of Eq. (62) , as marked.

Image of FIG. 7.
FIG. 7.

Traces corresponding to dimensionless values of the individual and summed terms of Eq. (77) : σ, solid line; , dashed line; , dotted-dashed line. The line at zero is included for reference. = 0.90.

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/content/aip/journal/pof2/25/2/10.1063/1.4789498
2013-02-06
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Longitudinal and transverse disturbances in unbounded, gas-fluidized beds
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4789498
10.1063/1.4789498
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